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Two-Dimensional Mathematical Modelling of a Dam-Break Wave in a Narrow Steep Stream

机译:陡峭陡流中溃坝波的二维数学建模

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摘要

The paper deals with hydraulic aspects of a wave, emerging as a result of a potential dam break of the upper storage reservoir of the pumpedstorage hydropower plant Kolarjev vrh. A two-dimensional depth-averaged mathematical approach was used. The upper storage reservoir and its dam failure were modelled with the mathematical model PCFLOW2D, which is based on the Cartesian coordinate numerical mesh.The results of PCFLOW2D were used as the upper boundary condition for the mathematical model PCFLOW2D-ORTHOCURVE, based on the orthogonal curvilinear numerical mesh. The model PCFLOW2D-ORTHOCURVE provided a tool for the analysis of flood wave flow in a steep, narrow and geometrically diversified stream channel. The classic Manning’s equation fails to give good results for streams with steep bedslopes and therefore, a different equation should be used. The application of the Rickenmann’s equation was chosen, presented in a form similar to Manning’s equation. For the purpose of the example given here, the equation was somewhat simplified and adapted to the data available. The roughness coefficient used at each calculation cell depended on the slope of that cell. The results of numerical calculationswere compared to measurements carried out on a physical model in the scale of 1 : 200. Regarding the complexity of the flow phenomenon a rather good correlation of maximum depth was established: only at one gauge the difference in water depth was up to 27% while at the other four it was 7% of water depth on average.
机译:本文涉及波浪的水力方面,这是由于抽水蓄能水力发电厂Kolarjev vrh的上部蓄水库可能溃坝而出现的。使用二维深度平均数学方法。使用基于笛卡尔坐标数值网格的数学模型PCFLOW2D对上部水库及其坝的破坏进行建模。基于正交曲线,将PCFLOW2D的结果用作数学模型PCFLOW2D-ORTHOCURVE的上边界条件数值网格。 PCFLOW2D-ORTHOCURVE模型为分析陡峭,狭窄和几何形状多样化的水流通道中的洪水流提供了一种工具。经典的曼宁方程无法为陡峭河床坡度的溪流提供良好的结果,因此,应使用其他方程。选择了里肯曼方程的应用,其形式类似于曼宁方程。出于此处给出的示例的目的,该方程式得到了一些简化,并适合于可用数据。每个计算单元使用的粗糙度系数取决于该单元的斜率。将数值计算的结果与以1:200的比例在物理模型上进行的测量进行了比较。关于流动现象的复杂性,建立了最大深度的相当好的相关性:仅在一个尺度上,水深的差异就增加了达到27%,而其他四个平均水平为水深的7%。

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